PreprintArticleVersion 1Preserved in Portico This version is not peer-reviewed
Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics
Version 1
: Received: 26 January 2024 / Approved: 29 January 2024 / Online: 29 January 2024 (14:39:18 CET)
How to cite:
A Mageed, D.I. Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics. Preprints2024, 2024012038. https://doi.org/10.20944/preprints202401.2038.v1
A Mageed, D.I. Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics. Preprints 2024, 2024012038. https://doi.org/10.20944/preprints202401.2038.v1
A Mageed, D.I. Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics. Preprints2024, 2024012038. https://doi.org/10.20944/preprints202401.2038.v1
APA Style
A Mageed, D.I. (2024). Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics. Preprints. https://doi.org/10.20944/preprints202401.2038.v1
Chicago/Turabian Style
A Mageed, D.I. 2024 "Fractal Dimension of the Generalized Z-Entropy of The Rényian Formalism of Stable Queue with Some Potential Applications of Fractal Dimension to Big Data Analytics" Preprints. https://doi.org/10.20944/preprints202401.2038.v1
Abstract
In the current work, the stable queueuing system's Generalised Z-Entropy (GZE) of Rényian formalism is examined in its fractal dimension. Notably, fractal dimension’s resulting behaviour that corresponds to the GZE parameters is examined through numerical tests. This research makes a substantial generalization in the literature by fusing fractal geometry and information theory to shed light on how entropy and complexity interact. More fundamentally, the significant role of fractal dimension to advance Big Data Analytics(BDAs) is highlighted. Closing remarks combined with open problems and the next phase of research are provided.
Keywords
Fractal Dimension(D), Generalized Z-Entropy, Google Earth satellite (GEs),GNU Image Manipulation, Big Data Analytics(BDAs).
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
